NCERT Exemplar Problems-Solutions Mathematics Class 10

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NCERT Exemplar Problems-Solutions Mathematics Class 10

From the Indian Education system's point of view, Class 10 is considered a crucial stage for a student’s career. After this, you are accessible to

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From the Indian Education system’s point of view, Class 10 is considered a crucial stage for a student’s career. After this, you are accessible to select the field of your interest. Whether you want to join Science, Commerce, or Arts stream, it is only possible after passing Class 10 board exams. Generally, board exam papers are set using NCERT textbooks. So, NCERT Exemplars can help students practise high-level questions that can also help them in advanced studies. Scroll down to learn more about Mathematics Exemplar problems for Class X NCERT publication. Chapter-wise Analysis of Mathematics Exemplar Problems for Class X NCERT Publication A chapter-wise analysis of Class 10 NCERT Mathematics Exemplar problems is given below: Chapter 1: Real Numbers The problems from this chapter are based on the following topics: ● Rational Numbers, Irrational Numbers, and their Decimal Expansions. ● Fundamental theorem of arithmetic. ● Euclid’s Division Lemma theorem and method. Chapter 2: Polynomials The problems from this chapter are based on the following topics: ● Polynomials and their geometrical representation. ● Division algorithm for polynomials and some related concepts. ● Finding the relationship between coefficients of a polynomial and zeroes of the polynomial. Chapter 3: Pair of Linear Equations in Two Variables Problems from this chapter are based on the following topics: ● Algebraic methods to solve linear equations, i.e., elimination, substitution, cross-multiplication, etc. ● Linear equations in two variable pairs. ● Graphical representation of these equations. Chapter 4: Quadratic Equations Problems from this chapter are based on the following topics: ● A standard form of a quadratic equation. ● Finding the roots of the quadratic equation. ● Finding the solution of a quadratic equation by completing the square. ● Finding the solution of a quadratic equation by factorisation. Chapter 5: Arithmetic Progressions Problems from this chapter are based on the following topics: ● Finding the common difference. ● Finding the sum of the first n terms in an A.P. ● Finding the nth term in A.P. Chapter 6: Triangles Problems from this chapter are based on the following topics: ● The similarity of triangles. ● Pythagoras theorem. ● Finding the areas of a similar triangle. ● Finding the relation between similar triangles. Chapter 7: Coordinate Geometry Problems from this chapter are based on the following topics: ● Using the distance formula. ● Finding the distance between any two points in a plane. ● Finding the area of a triangle formed in a plane by meeting any three points using its coordinates. ● Finding the coordinates using the section formula. Chapter 8: Introduction To Trigonometry and Its Equations Problems from this chapter are based on the following topics: ● Basic concepts of trigonometry. ● Based on some specific angles, finding different trigonometry ratios. ● Problems based on trigonometric formulas and identities. Chapter 9: Circles Problems from this chapter are based on the following topics: ● Tangent of a circle. ● Problems based on the concepts of circles. ● Several tangents can draw from a point on a circle. Chapter 10: Constructions Problems from this chapter are based on the following topics: ● Construction of a similar triangle. ● Dividing a line segment in different ratios given in the question. ● Constructing tangents to a circle from an outside point. Chapter 11: Areas Related to Circles Problems from this chapter are based on the following topics: ● Finding the area and perimeter of a circle. ● Areas of combinations of plane figures. ● Area of segment and sector of a circle. Chapter 12: Surface Areas and Volumes Problems from this chapter are based on the following topics: ● The surface area and volume of combined solids. ● Frustum of a cone. ● Conversion of solid shapes from one form to another. Chapter 13: Statistics and Probability Problems from this chapter are based on the following topics: ● Concepts of statistics. ● Mean, Mode, and Median of grouped data. ● Graphical representation of cumulative frequency distribution. In the Nutshell You can find the solution to Mathematics Exemplar problems for Class X NCERT publication online in pdf format. This way, you can resolve your queries and know the best solutions. The NCERT Mathematics Exemplar for Class 10 also includes advanced-level questions with problems based on concepts. With the help of NCERT-published Exemplars, you can prepare for the board exams and various competitive exams.

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